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Foundations

Math Foundations II

Based on the NCTM Curricular Focal Points, Math Foundations II is designed to expedite student progress in acquiring 6th- to 8th-grade skills. The course is appropriate for use as remediation at the high school level or as middle school curriculum. The programsimultaneously builds the computational skills and conceptual understanding needed to undertake high school-level math courseswith confidence.

The course's carefully paced, guided instruction is accompanied by interactive practice that is engaging and accessible. Formativeassessments help students to understand areas of weakness and improve performance, while summative assessments chart progressand skill development. Early in the course, students develop general strategies for honing their problem-solving skills. Subsequentunits provide a problem-solving strand that asks students to practice applying specific math skills to a variety of real-world contexts.

This course is built to state standards and informed by the National Council of Teachers of Math (NCTM) standards and CurricularFocal Points for Prekindergarten through Grade 8 Mathematics: A Quest for Coherence.

Length: Two semesters

UNIT 1: INTEGERS AND OPERATIONS

LESSON 1: NEGATIVE NUMBERS

Study: Negative NumbersLearn about positive, negative, and opposite numbers, as well as integers and signs.Duration: 0 hrs 30 mins

Checkup: Practice ProblemsComplete a set of practice problems to hone your calculation skills.Duration: 0 hrs 20 mins

Quiz: Negative NumbersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 2: ABSOLUTE VALUE

Study: Absolute ValueLearn about the absolute value of integers, the definition symbol, and the absolute value of expressions.Duration: 0 hrs 30 mins


Quiz: Absolute ValueTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: ADDING AND SUBTRACTING INTEGERS

Study: Adding and Subtracting IntegersAdd integers with and without the aid of a number line.Duration: 0 hrs 30 mins


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Quiz: Adding and Subtracting IntegersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 4: MULTIPLYING AND DIVIDING INTEGERS

Study: Multiplying and Dividing IntegersLearn rules for multiplying a positive and negative integer or multiplying two negative integers.Duration: 0 hrs 30 mins


Quiz: Multiplying and Dividing IntegersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: PROPERTIES OF OPERATIONS

Study: Properties of OperationsLearn about the associative, commutative, and distributive properties of addition and multiplication.Duration: 0 hrs 30 mins


Quiz: Properties of OperationsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 6: ORDER OF OPERATIONS

Study: Order of OperationsUse the order of operations to evaluate expressions.Duration: 0 hrs 30 mins


Quiz: Order of OperationsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 7: NUMBER LINES AND INEQUALITIES

Study: Number Lines and InequalitiesDefine and use a number line. Represent relationships between numbers with inequality symbols.Duration: 0 hrs 30 mins


Quiz: Number Lines and InequalitiesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 8: PROBLEM SOLVING


Study: Problem SolvingLearn strategies for solving a variety of application problems related to topics in this unit.Duration: 0 hrs 30 mins

Practice: AssignmentSubmit your work for a set of problem-solving applications.Duration: 0 hrs 30 mins Scoring: 30 points

LESSON 9: INTEGERS AND OPERATIONS WRAP-UP

Review: Integers and OperationsReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Integers and OperationsTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Integers and OperationsTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 2: FRACTIONS AND OPERATIONS

LESSON 1: FRACTION FUNDAMENTALS

Study: Fraction FundamentalsLearn about fractions, numerators, denominators, and equivalent fractions.Duration: 0 hrs 30 mins


Quiz: Fraction FundamentalsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 2: INTRODUCTION TO FRACTION ARITHMETIC

Study: Introduction to Fraction ArithmeticLearn about adding and subtracting fractions with like denominators, multiplying a fraction by an integer, and multiplyingfractions.Duration: 0 hrs 30 mins


Quiz: Introduction to Fraction ArithmeticTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: EQUIVALENT FRACTIONS

Study: Equivalent FractionsLearn about building equivalent fractions in order to add and subtract fractions with unlike denominators. Learn aboutcomparing equivalent fractions.Duration: 0 hrs 30 mins

Checkup: Practice Problems


Complete a set of practice problems to hone your calculation skills.Duration: 0 hrs 20 mins

Quiz: Equivalent FractionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 4: SIMPLIFYING FRACTIONS

Study: Simplifying FractionsLearn about finding common factors; dividing numerators and denominators by a common factor in order to simplify a fraction;putting a fraction in lowest terms; prime and composite numbers; and using a factor tree to find prime factorization.Duration: 0 hrs 30 mins


Quiz: Simplifying FractionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: IMPROPER FRACTIONS AND MIXED NUMBERS

Study: Improper Fractions and Mixed NumbersLearn about proper and improper fractions, writing improper fractions as mixed numbers, and converting mixed numbers toimproper fractions.Duration: 0 hrs 30 mins


Quiz: Improper Fractions and Mixed NumbersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 6: DIVIDING FRACTIONS

Study: Dividing FractionsLearn the definition of reciprocals. Learn about finding reciprocals of fractions in order to divide them.Duration: 0 hrs 30 mins


Quiz: Dividing FractionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 7: ADDING AND SUBTRACTING FRACTIONS

Study: Adding and Subtracting FractionsLearn about the smallest common denominator (the least common multiple of denominators) and about using primefactorization to find the least common multiple.Duration: 0 hrs 30 mins

Checkup: Practice ProblemsComplete a set of practice problems to hone your calculation skills.


Duration: 0 hrs 20 mins

Quiz: Adding and Subtracting FractionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 8: THE SET OF RATIONAL NUMBERS

Study: The Set of Rational NumbersLearn about rational and irrational numbers and pi.Duration: 0 hrs 30 mins


Quiz: Rational NumbersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points




LESSON 10: FRACTIONS AND OPERATIONS WRAP-UP

Review: Fractions and OperationsReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Fractions and OperationsTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Fractions and OperationsTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 3: DECIMALS AND OPERATIONS

LESSON 1: DECIMAL FUNDAMENTALS

Study: Decimal FundamentalsReview decimals and how to add and subtract them.Duration: 0 hrs 30 mins


Quiz: Decimal FundamentalsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: MULTIPLYING DECIMALS


Study: Multiplying DecimalsEstimate products of decimal numbers by rounding to a whole number. Learn where to place the decimal point after multiplyingdecimal numbers. Practice finding the product of decimal numbers.Duration: 0 hrs 30 mins


Quiz: Multiplying DecimalsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: MULTIPLYING DECIMALS AND ADDING ZEROS

Study: Multiplying Decimals and Adding ZerosLearn about using zero as a place value holder. Practice this skill using a sample problem.Duration: 0 hrs 30 mins


Quiz: Multiplying Decimals and Adding ZerosTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 4: REPEATING DECIMALS

Study: Repeating DecimalsUse division to convert a fraction to a decimal. Identify repeating decimals and repeating patterns. Learn how to write arepeating decimal so that it has the exact value as its corresponding fraction.Duration: 0 hrs 30 mins


Quiz: Repeating DecimalsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: DIVIDING DECIMALS

Study: Dividing DecimalsReview long division, placing the decimal point in order to divide, adding zeros in order to hold place value, using decimals inorder to display remainders, and dividing decimals by decimals. Practice these skills using sample problems.Duration: 0 hrs 30 mins


Quiz: Dividing DecimalsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 6: ADDING AND SUBTRACTING DECIMALS IN WORD PROBLEMS

Study: Adding and Subtracting Decimals in Word Problems


Review problem-solving steps and converting word problems into number problems with decimals. Practice adding andsubtracting decimals using sample problems.Duration: 0 hrs 30 mins


Quiz: Adding and Subtracting Decimals in Word ProblemsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 7: WORD PROBLEMS WITH DECIMALS - ALL OPERATIONS

Study: Word Problems with Decimals - All OperationsUsing real-world items in a grocery store, practice adding, subtracting, multiplying, and dividing decimals.Duration: 0 hrs 30 mins


Quiz: Word Problems with Decimals - All OperationsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 8: ESTIMATING SUMS AND DIFFERENCES WITH DECIMALS

Study: Estimating Sums and Differences with DecimalsLearn about rounding decimal values to the nearest whole number and using larger place values for larger numbers.Understand how rounding to different place values affects estimates. Practice estimating decimal sums and differences usingsample problems.Duration: 0 hrs 30 mins


Quiz: Estimating Sums and Differences with DecimalsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 9: ESTIMATING PRODUCTS AND QUOTIENTS OF DECIMALS

Study: Estimating Products and Quotients of DecimalsLearn about rounding decimal numbers to the highest place value in order to multiply or divide, rounding decimal values of lessthan 1, and estimating products and quotients of less than 1. Practice these skills using sample problems.Duration: 0 hrs 30 mins


Quiz: Estimating Products and Quotients of DecimalsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points


Study: Problem Solving


Learn strategies for solving a variety of application problems related to topics in this unit.Duration: 0 hrs 30 mins


LESSON 11: DECIMALS AND OPERATIONS WRAP-UP

Review: Decimals and OperationsReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Decimals and OperationsTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Decimals and OperationsTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 4: PERCENTS, RATIOS, PROPORTIONS, AND RATES

LESSON 1: THE MEANING OF PERCENT

Study: The Meaning of PercentLearn about the definition of percent. Learn about percent as a fraction in which the denominator is always 100% as a ratio ofpart to whole.Duration: 0 hrs 30 mins


Quiz: The Meaning of PercentTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: ESTIMATING PERCENT

Study: Estimating PercentLearn about common percents and where they appear, converting percents to fractions, and estimating amounts usingcommon percents. Practice these skills using sample problems.Duration: 0 hrs 30 mins


Quiz: Estimating PercentTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: WORKING WITH PERCENTS

Study: Working with PercentsLearn about how the sum of a whole always equals 100% and about finding missing percents. Explore real-world problemsfinding percents.Duration: 0 hrs 30 mins




Quiz: Working with PercentsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 4: RELATING FRACTIONS, DECIMALS, AND PERCENTS

Study: Relating Fractions, Decimals, and PercentsLearn about writing values as fractions, decimals, and percents. Practice finding the missing percent, decimal, or fraction usingsample problems.Duration: 0 hrs 30 mins


Quiz: Relating Fractions, Decimals, and PercentsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: COMMON FRACTIONS, DECIMALS, AND PERCENTS

Study: Common Fractions, Decimals, and PercentsLearn about converting among common fractions, decimals, and percents, such as 25, 50, 75, and 100. Learn about commonfractions with 10 in the denominator and how they appear as decimals and percents. Practice these skills using a sampleproblem.Duration: 0 hrs 30 mins


Quiz: Common Fractions, Decimals, and PercentsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 6: INTRODUCTION TO RATIOS

Study: Introduction to RatiosLearn about writing fractions as ratios, simplifying ratios, other ways to write ratios, and the order of numbers in a ratio. Practicethese skills using sample problems.Duration: 0 hrs 30 mins


Quiz: Introduction to RatiosTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 7: COMPARING RATIOS

Study: Comparing RatiosLearn how to compare two ratios and convert ratios into fractions and percentages.Duration: 0 hrs 30 mins




Quiz: Comparing RatiosTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 8: PROPORTIONS

Study: ProportionsUse ratios to define proportions and solve problems involving proportions.Duration: 0 hrs 30 mins


Quiz: ProportionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 9: RATES

Study: RatesUse ratios to define rates and solve rate problems.Duration: 0 hrs 30 mins


Quiz: RatesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 10: SIMILARITY AND SCALE FACTORS

Study: Similarity and Scale FactorsUse proportions to describe similar geometric objects.Duration: 0 hrs 30 mins


Quiz: Similarity and Scale FactorsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points




LESSON 12: PERCENTS, RATIOS, PROPORTIONS, AND RATES WRAP-UP

Review: Percents, Ratios, Proportions, and Rates


Review unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Percents, Ratios, Proportions, and RatesTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Percents, Ratios, Proportions, and RatesTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 5: THE LANGUAGE OF ALGEBRA

LESSON 1: WHAT IS A VARIABLE?

Study: What is a Variable?Learn the definition and explore examples of variables.Duration: 0 hrs 30 mins


Quiz: What is a Variable?Take a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 2: FINDING AND NAMING VARIABLES

Study: Finding and Naming VariablesSelect relevant variables and name them.Duration: 0 hrs 30 mins


Quiz: Finding and Naming VariablesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 3: UNITS AND REASONABLE VALUES

Study: Units and Reasonable ValuesLearn to recognize units of measure and determine reasonable values.Duration: 0 hrs 30 mins


Quiz: Units and Reasonable ValuesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 4: GRAPHS, TABLES, AND EQUATIONS

Study: Graphs, Tables, and EquationsFind the value of a variable using graphs, tables, and equations. Learn to organize information and find patterns. Exploreexamples and advantages of each problem-solving method.Duration: 0 hrs 30 mins



Quiz: Graphs, Tables, and EquationsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 5: SOLVING PROBLEMS WITH TABLES AND GRAPHS

Study: Solving Problems with Tables and GraphsSet up tables and graphs and use them to organize information. Determine when to use tables and graphs to solve problems.Duration: 0 hrs 30 mins


Quiz: Solving Problems with Tables and GraphsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 6: VARIABLE EXPRESSIONS

Study: Variable ExpressionsDefine and form variable expressions by performing operations.Duration: 0 hrs 30 mins


Quiz: Variable ExpressionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 7: MATHEMATICAL SENTENCES

Study: Mathematical SentencesLearn about the types and parts of mathematical sentences. Learn about translating word problems into mathematicalsentences.Duration: 0 hrs 30 mins


Quiz: Mathematical SentencesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points





LESSON 9: THE LANGUAGE OF ALGEBRA WRAP-UP

Review: The Language of AlgebraReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): The Language of AlgebraTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): The Language of AlgebraTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 6: SOLVING EQUATIONS WITH ADDITION AND SUBTRACTION

LESSON 1: SIMPLIFYING AND EVALUATING EXPRESSIONS

Study: Simplifying and Evaluating ExpressionsSimplify variable expressions by evaluating their numerical parts. Evaluate variable expressions by substituting values for x.Duration: 0 hrs 30 mins


Quiz: Simplifying and Evaluating ExpressionsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 7 points

LESSON 2: SOLVING MATHEMATICAL SENTENCES

Study: Solving Mathematical SentencesSolve equations using the "guess-and-check" method. Define a solution set and compare solution sets of equations andinequalities.Duration: 0 hrs 30 mins


Quiz: Solving Mathematical SentencesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 3: SOLVING EQUATIONS GRAPHICALLY

Study: Solving Equations GraphicallyDiscover problem-solving strategies including isolating a variable and using tiles to represent values in word problems.Duration: 0 hrs 30 mins


Quiz: Solving Equations GraphicallyTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 4: SOLVING EQUATIONS WITH LARGER NUMBERS

Study: Solving Equations with Larger Numbers


Translate English into number sentences and represent equations with a balanced scale.Duration: 0 hrs 30 mins


Quiz: Solving Equations with Larger NumbersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 5: SOLVING X + A = B

Study: Solving x + a = bPractice solving equations in the form x + a = b by isolating the variable x on one side of the equation. Learn how to solve thistype of equation when the value of a is positive or negative.Duration: 0 hrs 30 mins


Quiz: Solving x + a = bTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 6: SOLVING WITH A NUMBER LINE

Study: Solving with a Number LinePlot points on a number line, moving to the left or right to solve equations.Duration: 0 hrs 30 mins


LESSON 7: SOLVING INEQUALITIES

Study: Solving InequalitiesDevelop strategies to solve various forms of inequalities and display their solution set on a number line.Duration: 0 hrs 30 mins


Quiz: Solving InequalitiesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 8: VARIATIONS OF EQUATIONS AND INEQUALITIES

Study: Variations of Equations and InequalitiesExplore problems that take different forms, rearranging equations into x + a = b form (standard form) and solving inequalities innonstandard form.Duration: 0 hrs 30 mins



Quiz: Variations of Equations and InequalitiesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 10: SOLVING EQUATIONS WITH ADDITION AND SUBTRACTION WRAP-UP

Review: Solving Equations with Addition and SubtractionReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Solving Equations with Addition and SubtractionTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Solving Equations with Addition and SubtractionTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 7: SOLVING EQUATIONS WITH MULTIPLICATION AND DIVISION

LESSON 1: SOLVING AX = B

Study: Solving ax = bLearn about setting up a table; writing an equation to express a pattern; isolating a variable; dividing by coefficient of a variable;and using a number line to solve equations in standard form.Duration: 0 hrs 30 mins


Quiz: Solving ax = bTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: SOLVING X/A = B

Study: Solving x/a = bLearn about solving division problems using multiplication.Duration: 0 hrs 30 mins


Quiz: Solving x/a = bTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: INEQUALITIES

Study: Inequalities


Learn about solving inequalities by dividing by the coefficient of a variable. Learn about multiplying and dividing inequalities bynegative numbers.Duration: 0 hrs 30 mins


Quiz: InequalitiesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 5: SOLVING EQUATIONS WITH MULTIPLICATION AND DIVISION WRAP-UP

Review: Solving Equations with Multiplication and DivisionReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Solving Equations with Multiplication and DivisionTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Solving Equations with Multiplication and DivisionTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 8: EXPONENTS

LESSON 1: DEFINITIONS AND EXAMPLES OF EXPONENTS

Study: Definitions and Examples of ExponentsLearn the definitions of base exponent power and exponential expression. Learn to use a table to illustrate real-worldapplications of exponents.Duration: 0 hrs 40 mins


Quiz: Definitions and Examples of ExponentsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: EXPONENTS AND THE ORDER OF OPERATIONS

Study: Exponents and the Order of OperationsLearn about evaluating expressions with exponents using the order of operations.Duration: 0 hrs 40 mins

Checkup: Practice ProblemsComplete a set of practice problems to hone your calculation skills.



Quiz: Exponents and the Order of OperationsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: LAWS OF EXPONENTS

Study: Laws of ExponentsLearn about the multiplication law of exponents with positive and negative exponents; the rule for negative exponents; thedivision law of exponents; raising products and fractions to a power; and the power rule of exponents.Duration: 0 hrs 40 mins


Quiz: The Multiplication Law of ExponentsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 4: SCIENTIFIC NOTATION

Study: Scientific NotationLearn about expressing large numbers using scientific notation and about the form of scientific notation. Explore examples fromelementary science.Duration: 0 hrs 40 mins


Quiz: Scientific NotationTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: EXPONENTS IN GEOMETRY

Study: Exponents in GeometryLearn about using exponents to represent area and volume formulae. Explore units of area and volume.Duration: 0 hrs 40 mins


Quiz: Exponents in GeometryTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 6: SQUARE ROOTS

Study: Square RootsLearn about fractional exponents; principal square roots; square roots of positive numbers; perfect squares; and negativesquare roots vs. square roots of negative numbers.Duration: 0 hrs 40 mins



Quiz: Square RootsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 7: RADICAL NOTATION

Study: Radical NotationLearn about radical signs and radicands. Explore laws of exponents that apply to radicals.Duration: 0 hrs 40 mins


Quiz: Radical NotationTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 9: EXPONENTS WRAP-UP

Review: ExponentsReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): ExponentsTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): ExponentsTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 9: SOLVING EQUATIONS WITH ROOTS AND POWERS

LESSON 1: SOLVING |X| = B

Study: Solving |x| = bLearn about finding solution sets for absolute values using a number line.Duration: 0 hrs 40 mins


Quiz: Solving |x| = bTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: SOLVING X2 = B

Study: Solving x2 = bLearn about evaluating expressions with exponents by isolating the variable and finding the principal square root of both sides.




Quiz: Solving x2 = bTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: SOLVING &RADIC;X = B

Study: Solving √x = bLearn to solve equations involving square roots.Duration: 0 hrs 40 mins


Quiz: Solving √x = bTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 4: INEQUALITIES AND ABSOLUTE VALUE

Study: Inequalities and Absolute ValueLearn about using a number line to find solution sets of equations with absolute values.Duration: 0 hrs 40 mins


Quiz: Inequalities and Absolute ValueTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 5: INEQUALITIES AND X2

Study: Inequalities and x2

Learn about solving inequalities with exponents.Duration: 0 hrs 40 mins


Quiz: Inequalities and x2

Take a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 6: INEQUALITIES AND &RADIC;X

Study: Inequalities and √xLearn about solving inequalities with square roots by squaring both sides and plotting solution sets on a number line.Duration: 0 hrs 40 mins



Quiz: Inequalities and √xTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points




LESSON 8: SOLVING EQUATIONS WITH ROOTS AND POWERS WRAP-UP

Review: Solving Equations with Roots and PowersReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Solving Equations with Roots and PowersTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Solving Equations with Roots and PowersTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 10: MULTI-STEP EQUATIONS

LESSON 1: SOLVING AX + B = C

Study: Solving ax + b = cIdentify the strategy for solving one-step equations and apply it to multi-step equations. Perform the reverse of two or moreoperations on an equation. Build a variable expression to determine how to isolate the variable.Duration: 0 hrs 40 mins


Quiz: Solving ax + b = cTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: COLLECTING LIKE TERMS

Study: Collecting Like TermsLearn definitions of like terms and constants. Learn about collecting like terms adding and subtracting coefficients of like termsand solving equations with unlike terms.Duration: 0 hrs 40 mins


Quiz: Collecting Like TermsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: USING THE DISTRIBUTIVE PROPERTY


Study: Using the Distributive PropertyLearn about using the distributive property with variable expressions then collecting like terms.Duration: 0 hrs 40 mins


Quiz: Using the Distributive PropertyTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 4: VARIABLES ON BOTH SIDES OF THE EQUATION

Study: Variables on Both Sides of the EquationLearn about adding or subtracting variable expressions from both sides of an equation and about collecting variable terms onone side of an equation. Learn about equations with no solution.Duration: 0 hrs 40 mins


Quiz: Variables on Both Sides of the Equation - BasicTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 6: MULTI-STEP EQUATIONS WRAP-UP

Review: Multi-Step EquationsReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Multi-Step EquationsTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Multi-Step EquationsTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 11: LINEAR EQUATIONS

LESSON 1: CARTESIAN COORDINATE SYSTEMS

Study: Cartesian Coordinate SystemsRepresent real-world information with points instead of bars on a graph. Discover that the Cartesian coordinate system is madeup of two number lines. Identify the origin the x-axis the y-axis and the four quadrants on the xy-plane. Graph sets ofcoordinates known as ordered pairs.Duration: 0 hrs 40 mins



Quiz: Reading Data from GraphsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: LINES IN THE XY-PLANE

Study: Lines in the xy-planeLearn about plotting solution set values of equations as data points on the xy-plane (the graph of the equation).Duration: 0 hrs 40 mins


Quiz: Lines in the xy-planeTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: SLOPE

Study: SlopeLearn about rise run and the slope formula. Learn about rearranging a formula to compute rise and run negative zero andundefined slopes.Duration: 0 hrs 40 mins


Quiz: Finding the Slope of a Line - BasicTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 4: PARALLEL AND PERPENDICULAR LINES

Study: Parallel and Perpendicular LinesDefine parallel lines and the relationship of their slopes. Identify perpendicular lines how they intersect and the product of theirslopes as negative reciprocals.Duration: 0 hrs 40 mins


Quiz: Parallel and Perpendicular LinesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: SLOPE AND EQUATIONS

Study: Slope and EquationsLearn about finding the equation of a line. Learn about slope as the coefficient of the variable in the equation of the line (y =mx).Duration: 0 hrs 40 mins




Quiz: Slope and EquationsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 6: SLOPE-INTERCEPT FORM

Study: Slope-Intercept FormDetermine the equations of lines that don't pass through the origin. Plot a set of points to find the graph slope and y-interceptequation of a line. Discover the general form of the slope-intercept equation of a line.Duration: 0 hrs 40 mins


Quiz: Slope-Intercept FormTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 7: POINT-SLOPE FORM

Study: Point-Slope FormLearn about the point-slope equation and about manipulating equations into slope-intercept form.Duration: 0 hrs 40 mins


Quiz: Point-Slope Equation of a LineTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 8: LINEAR INEQUALITIES

Study: Linear InequalitiesLearn about graphing inequalities and the half-plane. Discover three steps to graphing inequalities.Duration: 0 hrs 40 mins


Quiz: Linear InequalitiesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 10: LINEAR EQUATIONS WRAP-UP


Review: Linear EquationsReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Linear EquationsTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Linear EquationsTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 12: SYSTEMS OF LINEAR EQUATIONS

LESSON 1: GRAPHING TWO VARIABLE SYSTEMS

Study: Graphing Two Variable SystemsLearn how to graph systems of two linear equations. Investigate when and why systems of linear equations have no solutions,exactly one solution, or infinitely many solutions.Duration: 0 hrs 30 mins


Quiz: Graphing Two Variable SystemsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: SOLVING TWO VARIABLE SYSTEMS WITH SUBSTITUTION

Study: Solving Two Variable Systems with SubstitutionUse the substitution method to solve systems of linear equations. See how to transform a two-variable equation into a one-variable equation by replacing a variable with an equal value or expression.Duration: 0 hrs 30 mins


Quiz: Solving Two Variable Systems with SubstitutionTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: SOLVING TWO VARIABLE SYSTEMS BY ELIMINATION

Study: Solving Two Variable Systems by EliminationLearn the elimination method to solve systems of linear equations by adding or subtracting the same value from both sides of anequation. Learn how to find convenient variable terms to eliminate, manipulate equations into standard form and adjustcoefficients.Duration: 0 hrs 30 mins


Quiz: Solving Two Variable Systems by EliminationTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points


LESSON 4: TWO VARIABLE SYSTEMS OF INEQUALITIES

Study: Two Variable Systems of InequalitiesLearn how to graph and determine the solution set for a system of inequalities. Identify situations where a system of inequalitieshas no solutions.Duration: 0 hrs 30 mins


Quiz: Two Variable Systems of InequalitiesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 6: SYSTEMS OF LINEAR EQUATIONS WRAP-UP

Review: Systems of Linear EquationsReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Systems of Linear EquationsTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Systems of Linear EquationsTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 13: DISTANCE AND ANGLES

LESSON 1: LINES, SEGMENTS AND RAYS

Study: Lines, Segments and RaysLearn definitions of a ray, a line, and a line segment.Duration: 0 hrs 30 mins


Quiz: Rays and LinesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 2: ANGLES

Study: AnglesClassify angles and how to measure and name them.Duration: 0 hrs 30 mins




Quiz: AnglesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: ANGLES OF A TRIANGLE

Study: Angles of a TriangleLearn the angle sum theorem, third angle theorem, and how to define a right triangle.Duration: 0 hrs 30 mins


Quiz: Angles of a TriangleTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 4: SIMILAR TRIANGLES

Study: Similar TrianglesExplore the properties of similar triangles and compare them.Duration: 0 hrs 30 mins


Quiz: Similar TrianglesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: THE PYTHAGOREAN THEOREM

Study: The Pythagorean TheoremDefinition of right angles and triangles, formula for Pythagorean Theorem, using the Theorem to solve a real-world problemDuration: 0 hrs 40 mins


Quiz: The Pythagorean TheoremTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 8 points

LESSON 6: THE DISTANCE FORMULA

Study: The Distance FormulaUse the Pythagorean Theorem to derive the distance formula.Duration: 0 hrs 30 mins


Quiz: The Distance FormulaTake a quiz to assess your understanding of the material.


Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 8: DISTANCE AND ANGLES WRAP-UP

Review: Distance and AnglesReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Distance and AnglesTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Distance and AnglesTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 14: AREA, SURFACE AREA, AND VOLUME

LESSON 1: REVIEW OF PERIMETER, AREA, AND VOLUME

Study: Review of Area and VolumeReview basic facts about area, volume, and the standard unit of measures.Duration: 0 hrs 30 mins


Quiz: Review of Area and VolumeTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 2: AREA OF TRIANGLES

Study: Area of TrianglesCalculate the area of a polygon and explore square units and the triangle area formula.Duration: 0 hrs 30 mins


Quiz: Area of TrianglesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: THE NUMBER PI

Study: The Number PiFormula for calculating volume of rectangular solids, sample problems.Duration: 0 hrs 40 mins


Checkup: Practice ProblemsComplete a set of practice problems to hone your calculation skills.Duration: 0 hrs 20 mins Scoring: 0 points

Quiz: The Number PiTake a quiz to assess your understanding of the material.Duration: 0 hrs 25 mins Scoring: 10 points

LESSON 4: THE AREA OF A CIRCLE

Study: The Area of a CircleLean the formula for area of a circle and use proportions to calculate the area of a sector.Duration: 0 hrs 30 mins


Quiz: The Area of a CircleTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: SURFACE AREA OF PRISMS AND CYLINDERS

Study: Surface Area of Prisms and CylindersDerive and use formulas to calculate surface area of prisms and cylinders.Duration: 0 hrs 30 mins


Quiz: Surface Area of Prisms and CylindersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 6: VOLUME OF PRISMS AND CYLINDERS

Study: Volume of Prisms and CylindersDerive and use formulas to calculate volume of prisms and cylinders.Duration: 0 hrs 30 mins


Quiz: Volume of Prisms and CylindersTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 8: AREA, SURFACE AREA, AND VOLUME WRAP-UP


Review: Area, Surface Area, and VolumeReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Area, Surface Area, and VolumeTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Area, Surface Area, and VolumeTake a teacher-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 50 points

UNIT 15: DATA ANALYSIS AND PROBABILITY

LESSON 1: REVIEW OF DATA ANALYSIS

Study: Review of Data AnalysisReview of descriptive data analysis including frequency tables, line plots, bar graphs, histograms, stem and leaf plots and piecharts.Duration: 0 hrs 30 mins


Quiz: Review of Data AnalysisTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 9 points

LESSON 2: POPULATIONS AND SAMPLES

Study: Populations and SamplesDifferentiate between a population and a sample and make estimates about a population based on data from a sample usingproportions.Duration: 0 hrs 30 mins


Quiz: Populations and SamplesTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 3: MEAN, MEDIAN, AND MODE

Study: Mean, Median, and ModeExplore mean, median, and range as measures of center.Duration: 0 hrs 30 mins


Quiz: Mean, Median, and RangeTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 4: QUARTILES AND BOX AND WHISKER PLOTS

Study: Quartiles and Box and Whisker Plots


Learn how to calculate the 25th and 75th quartile and then construct a box-and-whisker plot.Duration: 0 hrs 30 mins


Quiz: Quartiles and Box and Whisker PlotsTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 5: TWO VARIABLE DATA SETS AND THE LINE OF BEST FIT

Study: Two Variable Data Sets and the Line of Best FitReview scatter plots and learn how to informally find a line a best fit.Duration: 0 hrs 30 mins


Quiz: Two Variable Data Sets and the Line of Best FitTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points

LESSON 6: INTRODUCTION TO PROBABILITY

Study: Introduction to ProbabilityExplore the definition of probability using proportions.Duration: 0 hrs 30 mins


Quiz: Introduction to ProbabilityTake a quiz to assess your understanding of the material.Duration: 0 hrs 20 mins Scoring: 10 points




LESSON 8: DATA ANALYSIS AND PROBABILITY WRAP-UP

Review: Data Analysis and ProbabilityReview unit material in preparation for upcoming assessments.Duration: 0 hrs 30 mins

Test (CS): Data Analysis and ProbabilityTake a computer-scored test to assess what you have learned in this unit.Duration: 0 hrs 30 mins Scoring: 60 points

Test (TS): Data Analysis and ProbabilityTake a teacher-scored test to assess what you have learned in this unit.


Duration: 0 hrs 30 mins Scoring: 50 points


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